On vanishing of low-degree higher \(\hat{A}\)-genera

DOI10.1016/j.difgeo.2015.09.001zbMath1334.58012OpenAlexW2174241292WikidataQ115355854 ScholiaQ115355854MaRDI QIDQ891585

Mostafa Esfahani Zadeh

Publication date: 17 November 2015

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2015.09.001

zbMATH Keywords

classifying spacespin manifoldindexstrong Novikov conjectureassembly map

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Exotic index theories on manifolds (58J22) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Index theory (19K56)

Cites Work

• Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
• The strong Novikov conjecture for low degree cohomology
• Group cohomology with Lipschitz control and higher signatures
• Enlargeability and index theory
• Enlargeability and index theory: infinite covers
• \(L^2\)-index theorems, KK-theory, and connections
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